一种基于陷门收缩原理的公钥算法(a public key algorithm based on trapdoor contraction)

一种基于陷门收缩原理的公钥算法(a public key algorithm based on trapdoor contraction)

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页数:18页

时间:2018-07-15

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1、一种基于陷门收缩原理的公钥算法(Apublickeyalgorithmbasedontrapdoorcontraction)ApublickeyalgorithmbasedontrapdoorcontractionAbstract:Thispapermainlyintroducesamethodbasedontheprincipleof"TrapKn

2、apsack"publickeyalgorithm,weconstructtheprivatekeyMethodPasswordlengthandsecurityintensityarealsodiscussedAnalysis.Keywords:encryptionDecryptTrapdoorcontractionalgorithm1.introductionCalculationmachinenetworkTechnologyenablesinformationscienceGetflying

3、DevelopmentItalsobringsaseriesofdatasecurityproblemItrequireshighintensityencryptiontoensureitssecurity.Inrecentyears,cryptographyhasmaderapidprogressincryptographyResearchVeryactive,therehavebeenmanypublickeycryptographysystems.Inthispaper,wedesignapu

4、blickeycipheralgorithmbasedonthe"trapdoorcontraction"principle,givetheconstructionmethodofprivatekey,andanalyzethelengthandsecurityofthesecretkey.2.designideasAccordingtothebasicideaofMerkleandHellman'sclassictrapdoorcontractionalgorithm,knapsackproble

5、manddonotknowthe"trapdoorinformation"ofthecaseisdifficulttocalculate,ifyouknowthe"trapdoorinformation",itbecomeseasytosolve.Theprivatekey(decryptionkey)ofthealgorithminthispaperisthetrapdoorcontractioninnumbertheory"theoryOnthebasisofrandomgeneratedcom

6、plexstructuregenerated,consistentwiththe"shrink"calculationLawAndusesthetrapdoorprincipletoderivethepublickey(theencryptionkey)fromtheprivatekey.Whenencrypting,thecipherisderivedfromthepublickeyaccordingtothepublickey;whendecrypting,theintermediatepass

7、wordisderivedfromthecipherandthekeynumberbythetrapdoorprinciple,andthesecretcodeiscontractedaccordingtotheprivatekey.Thegeneralmathematicaldescriptionofthealgorithmis..:LetXbeplaincodeForpasswordIntermediatepasswordPublickey(public)Privatekey(secrecy)E

8、ncryptionprocess:Decryptionprocess:2Inthecryptanalysis,thekeyplaysanimportantrole.Becauseofthecharacteristicsofthepublickeycryptosystem,thedesignofprivatekeybecomesthekeytechnologyofthecryptosystem.Thekeyofthispaperistoconstructaprivate

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